Thermodynamics And Statistical Physics Mock Tests

18 questions available

Thermodynamics And Statistical Physics Mock Test 1

Questions: 18

Sample Questions

GATE Physics

A Carnot engine operates between reservoirs at temperatures T_H = 600 K and T_C = 300 K. If the engine absorbs 1200 J of heat from the hot reservoir per cycle, the work done per cycle is:

A 600 J

B 900 J

C 300 J

D 2400 J

GATE Physics

The partition function Z in the canonical ensemble is defined as (where β = 1/(k_B T) and E_i are energy eigenvalues):

A Σᵢ exp(−Eᵢ/(k_B T))

B Σᵢ exp(Eᵢ/(k_B T))

C Σᵢ Eᵢ exp(−Eᵢ/(k_B T))

D Σᵢ exp(−Eᵢ·k_B T)

GATE Physics

From the Gibbs free energy G = U - TS + PV, which Maxwell relation is correct?

A (∂S/∂P)_T = -(∂V/∂T)_P

B (∂S/∂P)_T = (∂V/∂T)_P

C (∂S/∂V)_T = -(∂P/∂T)_V

D (∂S/∂P)_T = -(∂T/∂V)_P

GATE Physics

The second law of thermodynamics can be stated in terms of entropy as:

A the total entropy of an isolated system never decreases

B entropy is always zero

C entropy decreases in all spontaneous processes

D entropy is conserved

GATE Physics

Bose-Einstein condensation occurs when:

A The thermal de Broglie wavelength becomes comparable to the interparticle spacing

B The temperature approaches infinity

C Particles obey Fermi-Dirac statistics

D The system becomes a perfect conductor

GATE Physics

The partition function for a two-level system with energy levels 0 and ε at temperature T is:

A 1 + e^(-ε/(k_B T))

B e^(-ε/(k_B T))

C 1 - e^(-ε/(k_B T))

D 2e^(-ε/(k_B T))

GATE Physics

The mean free path λ of gas molecules is inversely proportional to:

A number density n and collision cross-section σ

B temperature T only

C pressure P only

D molecular mass m only

GATE Physics

The Stefan-Boltzmann law states that the total power radiated per unit area by a black body is proportional to:

A T⁴

B T²

C T

D T³

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